• 제목/요약/키워드: Non-linear Finite Element Method

검색결과 393건 처리시간 0.027초

지진력을 받는 해양케이블의 동적 비선형해석 (Dynamic Non-Linear Analysis of Ocean Cables Subjected to Earthquakes)

  • 김남일;신현목
    • 한국지진공학회논문집
    • /
    • 제3권2호
    • /
    • pp.77-86
    • /
    • 1999
  • 이전의 연구에서 하중증분법을 이용하여 지점 변위를 일으키고 자중. 부력, 그리고 조류력을 받는 해양케이블의 초기평형 상태를 결정하였다 본 연구에서는 이 상태를 기준으로 동적으로 지점운동 또는 지진하중에 대하여 첨가질량 및 케이블운동에 의한 Morison force를 고려한 해양케이블의 동적 비선형해석을 수행한다 지점운동과 지진력을 받는 수중케이블에 대하여 기하학적인 비선형해석을 수행하고 해석결과의 분석을 통하여 해양케이블의 동특성을 파악한다.

  • PDF

Experimental investigation for failure analysis of steel beams with web openings

  • Morkhade, Samadhan G.;Gupta, Laxmikant M.
    • Steel and Composite Structures
    • /
    • 제23권6호
    • /
    • pp.647-656
    • /
    • 2017
  • This paper presents an experimental study on the behaviour of steel beams with different types of web openings. Steel beams with web openings became progressively more accepted as a well-organized structural form in steel construction since their existence. Their complicated design and profiling method provides better flexibility in beam proportioning for strength, depth, size and location of holes. The objective of this study is to carry out the experiments on steel beams with different types of web openings and performed non-linear finite element (FE) analysis of the beams that were considered in the experimental study in order to determine their ultimate load capacity and failure modes for comparison. Ten full scale models of steel beam with web openings have been tested in the experimental investigation. The finite element method has been used to predict their entire response to increasing values of external loading until they lose their load carrying capacity. FE model of each specimen that is utilized in the experimental studies is carried out. These models are used to simulate the experimental work to verify test results and to investigate the nonlinear behaviour of failure modes such as local buckling, lateral torsional buckling, web-post buckling, shear buckling and Vierendeel bending of beams.

The effect of pile cap stiffness on the seismic response of soil-pile-structure systems under near-fault ground motions

  • Abbasi, Saeed;Ardakani, Alireza;Yakhchalian, Mansoor
    • Earthquakes and Structures
    • /
    • 제20권1호
    • /
    • pp.87-96
    • /
    • 2021
  • Ground motions recorded in near-fault sites, where the rupture propagates toward the site, are significantly different from those observed in far-fault regions. In this research, finite element modeling is used to investigate the effect of pile cap stiffness on the seismic response of soil-pile-structure systems under near-fault ground motions. The Von Wolffersdorff hypoplastic model with the intergranular strain concept is applied for modeling of granular soil (sand) and the behavior of structure is considered to be non-linear. Eight fault-normal near-field ground motion records, recorded on rock, are applied to the model. The numerical method developed is verified by comparing the results with an experimental test (shaking table test) for a soil-pile-structure system. The results, obtained from finite element modeling under near-fault ground motions, show that when the value of cap stiffness increases, the drift ratio of the structure decreases, whereas the pile relative displacement increases. Also, the residual deformations in the piles are due to the non-linear behavior of soil around the piles.

Non linear soil structure interaction of space frame-pile foundation-soil system

  • Chore, H.S.;Ingle, R.K.;Sawant, V.A.
    • Structural Engineering and Mechanics
    • /
    • 제49권1호
    • /
    • pp.95-110
    • /
    • 2014
  • The study deals with physical modeling of space frame-pile foundation and soil system using finite element models. The superstructure frame is analyzed using complete three-dimensional finite element method where the component of the frame such as slab, beam and columns are descretized using 20 node isoparametric continuum elements. Initially, the frame is analyzed assuming the fixed column bases. Later the pile foundation is worked out separately wherein the simplified models of finite elements such as beam and plate element are used for pile and pile cap, respectively. The non-linear behaviour of soil mass is incorporated by idealizing the soil as non-linear springs using p-y curve along the lines similar to that by Georgiadis et al. (1992). For analysis of pile foundation, the non-linearity of soil via p-y curve approach is incorporated using the incremental approach. The interaction analysis is conducted for the parametric study. The non-linearity of soil is further incorporated using iterative approach, i.e., secant modulus approach, in the interaction analysis. The effect the various parameters of the pile foundation such as spacing in a group and configuration of the pile group is evaluated on the response of superstructure owing to non-linearity of the soil. The response included the displacement at the top of the frame and bending moment in columns. The non-linearity of soil increases the top displacement in the range of 7.8%-16.7%. However, its effect is found very marginal on the absolute maximum moment in columns. The hogging moment decreases by 0.005% while sagging moment increases by 0.02%.

F.A.M.을 이용한 공동 내부의 유동해석 (Analysis of Flow Field in Cavity Using Finite Analytic Method)

  • 박명규;정정환;김동진
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제15권4호
    • /
    • pp.46-53
    • /
    • 1991
  • In the present study, Navier-Stokes equation is numerically solved by use of a Finite analytic method to obtain the 2-dimensional flow field in the square cavity. The basic idea of F.A.M. is the incorporation of local analytic solutions in the numerical solution of linear or non-linear partial differential equations. In the F.A.M., the total problem is subdivided into a number of all elements. The local analytic solution is obtained for the small element in which the governing equation, if non-linear, to be linearized. The local analytic solutions are then expressed in algebraic form and are overlapped to cover the entire region of the problem. The assembly of these local analytic solutions, which still preserve the overall nonlinearity of the governing equations, results in a system of linear algebraic equations. The system of algebraic equations is then solved to provide the numerical solutions of the total problem. The computed flow field shows the same characteristics to physical concept of flow phenomena.

  • PDF

Large deflection analysis of edge cracked simple supported beams

  • Akbas, Seref Doguscan
    • Structural Engineering and Mechanics
    • /
    • 제54권3호
    • /
    • pp.433-451
    • /
    • 2015
  • This paper focuses on large deflection static behavior of edge cracked simple supported beams subjected to a non-follower transversal point load at the midpoint of the beam by using the total Lagrangian Timoshenko beam element approximation. The cross section of the beam is circular. The cracked beam is modeled as an assembly of two sub-beams connected through a massless elastic rotational spring. It is known that large deflection problems are geometrically nonlinear problems. The considered highly nonlinear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of Aluminum. In the study, the effects of the location of crack and the depth of the crack on the non-linear static response of the beam are investigated in detail. The relationships between deflections, end rotational angles, end constraint forces, deflection configuration, Cauchy stresses of the edge-cracked beams and load rising are illustrated in detail in nonlinear case. Also, the difference between the geometrically linear and nonlinear analysis of edge-cracked beam is investigated in detail.

Modelling of headed stud in steel-precast composite beams

  • El-Lobody, Ehab;Lam, Dennis
    • Steel and Composite Structures
    • /
    • 제2권5호
    • /
    • pp.355-378
    • /
    • 2002
  • Use of composite steel construction with precast hollow core slabs is now popular in the UK, but the present knowledge in shear capacity of the headed shear studs for this type of composite construction is very limited. Currently, all the information is based on the results obtained from experimental push-off tests. A finite element model to simulate the behaviour of headed stud shear connection in composite beam with precast hollow core slabs is described. The model is based on finite element method and takes into account the linear and non-linear behaviour of all the materials. The model has been validated against the test results, for which the accuracy of the model used is demonstrated. Parametric studies showing the effect of the change in transverse gap size, transverse reinforcement diameter and in-situ concrete strength on the shear connection capacity are presented.

A PETROV-GALERKIN METHOD FOR A SINGULARLY PERTURBED ORDINARY DIFFERENTIAL EQUATION WITH NON-SMOOTH DATA

  • Zheng T.;Liu F.
    • Journal of applied mathematics & informatics
    • /
    • 제22권1_2호
    • /
    • pp.317-329
    • /
    • 2006
  • In this paper, a singularly perturbed ordinary differential equation with non-smooth data is considered. The numerical method is generated by means of a Petrov-Galerkin finite element method with the piecewise-exponential test function and the piecewise-linear trial function. At the discontinuous point of the coefficient, a special technique is used. The method is shown to be first-order accurate and singular perturbation parameter uniform convergence. Finally, numerical results are presented, which are in agreement with theoretical results.

유한요소법과 경계요소법의 교호적용에 의한 와전류장 해석 (A Numerical Calculation of Eddy Current Field by Applying FEM and BEM Alternately)

  • 임재원
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
    • /
    • 제49권7호
    • /
    • pp.457-461
    • /
    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

  • PDF

Vibration analysis of a pre-stressed laminated composite curved beam

  • Ozturk, Hasan
    • Steel and Composite Structures
    • /
    • 제19권3호
    • /
    • pp.635-659
    • /
    • 2015
  • In this study, natural frequency analysis of a large deflected cantilever laminated composite beam fixed at both ends, which forms the case of a pre-stressed curved beam, is investigated. The laminated beam is considered to have symmetric and asymmetric lay-ups and the effective flexural modulus of the beam is used in the analysis. In order to obtain the pre-stressed composite curved beam case, an external vertical concentrated load is applied at the free end of a cantilever laminated composite beam and then the loading point of the deflected beam is fixed. The non-linear deflection curve of the flexible beam undergoing large deflection is obtained by the Reversion Method. The curved laminated composite beam is modeled by using the Finite Element Method with a straight-beam element approach. The effects of orientation angle and vertical load on the natural frequency parameter for the first four modes are examined and the results obtained are given in graphics. It has been found that the effect of the load parameter, which forms the curved laminated beam, on the natural frequency parameter, almost disappears after a certain value of the load parameter. This certain value differs for each laminated curved beam and each vibration mode.